Stochastic upscaling of random microstructures
Bojana Rosić, Muhammad Sadiq Sarfaraz, Hermann Georg Matthies, Adnan Ibrahimbegović · PAMM · 2017
Abstract In this work we present an upscaling technique for multi‐scale computations based on random microstructures modelled as realisations of lognormally distributed random fields, or described by randomly distributed inclusions in a homogeneous matrix. Their corresponding coarse‐scale model parameters are considered as uncertain, and are approximated by random variables, the distributions of which are obtained via polynomial chaos based Bayesian procedures in which the fine‐scale energy is used as an observation. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)